Snap apologised for the advert on Thursday.
"We are so sorry we made the terrible mistake of allowing it through our review process. We are investigating how that happened so that we can make sure it never happens again," the company said.
The advert, which promoted a mobile game called Would You Rather, was deleted along with the advertiser itself.
Rihanna appeared to urge her fans to delete Snapchat, which is popular among teenagers and young adults.
"You spent money to animate something that would intentionally bring shame to DV [domestic violence] victims and made a joke of it!!" she wrote
"This isn't about my personal feelings, cause I don't have much of them... but all the women, children and men that have been victims of DV in the past and especially the ones who haven't made it out yet... you let us down!
"Shame on you. Throw the whole app-oligy away."